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3 years ago

What kinds of functions can be integrated using partial fraction decomposition? Choose the correct answer below

Mathematics

1 answer:

zaharov [31]3 years ago

4 0

Answer:

B. Rational functions

Step-by-step explanation:

The partial fraction decomposition is used for functions there are described by fractions, and for which the substitution method is not possible. These are rational functions, in which both the numerator and the denominator are polynomials.

So the correct answer is:

B. Rational functions

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What is the slope of a line that is parallel to the line y=3/4x+2

MariettaO [177]

The slope is m=3/4. Hope this helped you with your work let me know if I got the answer correct.

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3 years ago

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A store has a 25\%25% off sale on coats. With this discount, the price of one coat is \$34.50$34.50. What is the original price

timama [110]

Answer:

$46

Step-by-step explanation:

A percent is a portion of 100. If we receive 25% off then we pay 75% of the price. 100%-25%=75%. $34.50 is 75% of the original price. We find the new price through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare percent over percent to an equal ratio of $ to $.

$\frac{75}{100} =\frac{34.50}{y}$

I can now cross-multiply by multiplying numerator and denominator from each ratio.

$75y=100(34.50)\\75y=3450$

I now solve for y by dividing by 75.

$\frac{75y}{75} =\frac{3450}{75} \\y= 46....$

The original price was $46.

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3 years ago

If gas cost $1.35 per gallon and Jose has $81 budgeted for gasoline, what os the maximum distance in miles he can travel if his

MA_775_DIABLO [31]

So you times 1.35 by 60 and It gives you 81 so its 60 times 34 = 2040

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3 years ago

5s + 7s????????????????

natali 33 [55]

Answer:

12s

Step-by-step explanation:

5s + 7s = (5 + 7) s= 12s

This is your answer

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3 years ago

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Simplify.<br> 4/x^2-35 - 1/x+5

Oksana_A [137]

If I understand your question well, I suppose you mean $\frac{4}{ x^{2} -35} - \frac{1}{x+5}$
$\frac{4}{ x^{2} -35} - \frac{1}{x+5} = \frac{4}{(x+5)(x-7)}- \frac{1}{x+5} \\ = \frac{1}{x+5}( \frac{4}{x-7}-1) \\ = \frac{1}{x+5}( \frac{4}{x-7}- \frac{x-7}{x-7}) \\ = \frac{1}{x+5}( \frac{4-x+7}{x-7}) \\ = \frac{1}{x+5}( \frac{11-x}{x-7}) \\ = \frac{11-x}{ x^{2} -35}$

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3 years ago